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Finding the Third Proportional to 404,674 and 886,437

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Solution

The third proportional to 404,674 and 886,437 is: 1,941,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,674 : 886,437 = 886,437 : x
  2. Step 2: Convert to fraction form
    404,674/886,437 = 886,437/x
  3. Step 3: Cross multiply
    404,674x = 886,437 × 886,437
  4. Step 4: Simplify right side
    404,674x = 785,770,554,969
  5. Step 5: Solve for x
    x = 785,770,554,969/404,674
  6. Step 6: Final answer
    x = 1,941,737.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.